Identity-Based Broadcast Encryption (
IBBE) is a novel concept that can efficiently and securely transmit confidential content to a group of authorized users without the traditional Public-Key Infrastructure (
PKI). After carefully exploring these areas, we have observed that none of the existing works have adopted the quantum-attack resistant cryptographic machinery Multivariate Public-Key Cryptography (
MPKC) with provable security. We are the first to design a quantum-safe
IBBE that solely relies on the
MPKC framework. Our proposed protocol has achieved $ \mathcal{O}(n) $-size communication bandwidth and $ {n^3}\cdot\mathcal{O}\big(\max\big\{N, {\delta}^4\big\}\big) $-size overhead storage without any security breach. Here, $ n $ is the number of variables for each multivariate polynomial, $ N $ represents the total number of system users, and $ \delta $ denotes a positive fixed-length. More positively, our design has achieved the adaptive INDistinguishable Chosen-Ciphertext Attack (
IND-CCA) security in the Random Oracle Model (
ROM) under the hardness of standard Multivariate Quadratic (
MQ) problem. We emphasize that our system can also be immune against collusion attacks where several users come together to create an illicit decryption box.
With the increase in the computing resources power the quantum computers are penetrating into the communication networks. Therefore, assured security of classical cryptographic algorithms is highly questionable and needs inspection. Hence, this paper aims to explore the implications of quantum computing on contemporary cryptography and briefs key post-quantum algorithms. The reader will delve into various topics including current cryptographic schemes (both symmetric and asymmet-ric), the disparities between quantum and classical computing, key quantum algorithms such as Shor's and Grover's, the impact on public key encryption schemes, affected symmetric schemes, and the field of post-quantum cryptography. Specifically, the section on Post-Quantum Cryptography covers diverse quantum key distribution methods and mathematical based solutions, such as the BB84 protocol, lattice-based cryptography, multivariate-based cryptography, hash-based signatures, and code-based cryp-tography.